This is a pretty broad question. Many schools in every state will offer various types of degrees in graphic design.
In general, in the US, you could divide the degrees into two main camps. 2 year associate degrees and 4 year bachelor's degrees. For graphic design, typically the 2 year degrees aren't worth a lot in terms of getting a job in a design firm--though they may be of value for personal gain/interest.
With the 4 year degrees, you can then typically find design degrees that fit into two categories: Bachelor of Arts and Bachelor of Fine Arts. Not a major difference between the two, but the latter will perhaps focus more on the fine arts.
The 2 year degrees tend to be provided at community colleges, are taught by designers working professionally, and will tend to focus more on practical implementation of design.
The 4 year degrees tend to be provided by larger universities, are taught by both educators and designers working professionally, and will tend to focus more on art and design theory.
As for a list of schools, that is simply too long of a list to provide here. If you are looking at a particular region, we could maybe get you a narrower list.